If u+ t =5 and u - t =2, what is the value of (u-t)(u2 - t2)?
Correct answer: D. 20
- A. 5
- B. 10
- C. 15
- D. 20
Explanation
The correct answer is 20. Begin by recognizing that u2 − t2 can be factored as (u − t)(u + t). Thus, the expression (u − t)(u2 − t2) simplifies to (u − t)(u − t)(u + t). Given u + t = 5 and u − t = 2, substituting these values results in (2)(2)(5) = 20. The other options are incorrect because they result from errors in substitution or calculation.
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